Establishing the Equation of the Wave Function and the System Model (ρ, m, and v)

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ISSN 2581-3463
RESEARCH ARTICLE
Establishing the Equation of the Wave Function and the System Model (ρ, m, and v)
Mohamed Daris
Department of Physics, Faculty of Sciences University Rabbat Morocoo, Morocco, Rabat
Received: 15-05-2018; Revised: 20-06-2018; Accepted: 20-07-2018
ABSTRACT
In this section, a relation which establishes universal parameters of the matter will give us a new model
that I call them the model (ρ, m, and v) but, in this model, I will put relations between the parameters
of the matter and the wave function and I’m going to explain that they are linking together the wave
function plays the role of the wave function of matter and energy at the same time this gives us access to
a new aspect that is a relationship of the wave function with mass and density makes it easier for us to
exploit other relationships for the new model.
Key words: Density, energy, full vacuum, infinite spaces, mass, new acceleration of light, wave
functions
INTRODUCTION
The main purpose of this topic is to better
understand new aspects of matter and energetic
systems and to give new theorems, and relations
based on having an idea about the behavior of
matter either on the mass side of the volume or
the volume density this gives us newly exploit
relationships but on the basis of the corrective
theorem of the equation of light and that will guide
us to have an explanatory model of the material
and hence the systems outside the vacuum or
inside the void.
DISCUSSION
Establishing the equation of the wave function
and the system model (ρ, m, and v)[1-5]
1. Realization of the equations necessary to
establish the density the volume the mass and
assembly of the system (ρ, m, and v):
We have: 2
E
A
mc

= =
So: 2 2 2
2
( ) F
E
A T
mc

= = =
Address for correspondence:
Mohamed Daris,
E-mail: Mohamed_aout@hotmail.fr
So we have: ε2
= TF
=A2
So we will have: ( )
F
T A 
= =
→E=mc2
A=mc2 ε
So: ' 2
F
E T c
= → ' 2
( )
E Ac
=
So: ' 2
( )
E c

=
Which means:
'
2
2
E
c

=
And we have: 2
0 0 1
c
  =
→
'
2
2
0 0 0 0
1 1
E
c
    
=
→
=
So we have:
2
'
0 0
E

 
=
So:
2
0 0
E
m

 
=
So:
2
2
0 0
F
T c

 
=
So: (ε/c)2
= TF
μ0
ε0
Moreover,wehavethefollowingtworelationships:
(ε/c)2
= TF
μ0
ε0
And: μ0
ε0
c2
=1
So:
2
2
0
0
F
T c



=
We have:
2
'
F
T c E
= →
2
'
0
0
E



=
Hence, we have the following relationship:

2
0 0
'
E

 
=

Daris: Wave function and system
AJMS/Jul-Sep-2018/Vol 2/Issue 3 7
We know that: ' E
E
m
=
So:
2
0 0
m
E

 
=
We pose:
2
0 0
1
c 
 
= =
With: γ = New acceleration of light: γ = c2
And: 2 '2
m 
=
Hence, we established the following new
relationship:
'2
'
E 
=
This is the new equation of light in infinite spaces
condensed by emptiness full with energy E’.
E’: The maximum energy of the particle of matter
in the full vacuum.
γ: Is relative with acceleration.
ε′: Is relative with the final time, so we have the
following new relationship:
2
' '
E 
=
2. Relationship building wave functions and
speed C:
dP = |Ψ2
|dV And: 2
0
1
dV
∞
Ψ =
∫
We have: limΣ∞=TF
And: limΣ∞=1
So: 2
0
lim
dV
∞
Ψ = Σ∞
∫
So we have:
2
0
F
dV T
∞
Ψ =
∫
We know that: 2
0
F
dV T
∞
Ψ =
∫
So: 2 2
2
0
( )
E
dV
mc
∞
Ψ =
∫
We know that:
m m
V
V


→
= =
So:
dm
dV

=
That is to say: 2 2
2
0
1
( )
E
dm
mc

∞
Ψ =
∫
So:
2
2 2
4
0
1 E
m dm
c

∞
Ψ =
∫
So:
2 3 2
4
0
3
m E
c

∞
 
Ψ
=
 
 
So we have:
2
2
4 2
0
E
m dm
c

∞
=
Ψ
∫
So: 2 2
2
0
( )
E
m dm
c

∞
Ψ
=
∫
We have: limΣ∞=TF
So: 2
0
m dm lim
∞
= Σ∞
∫
So: 2
0
F
m dm T
∞
=
∫
So:
2
4 2 F
E
T
c

=
Ψ
So:
2
2
( )
F
E
T
mc
=
So:
2
2
4 F
E
T m
c
=
So:
2
2
4
F
E
c T

= Ψ
So: 2
F
E
c T

Ψ =
We have: 2
( )
F
E
T
mc
=
→Hence, we will have the final result:
m 
Ψ =
→This equation is the equation of condensed
matter in infinite spaces of full energy.
3. Final relations of the works:
We have:
2
2
4
F
E
c T

= Ψ
So:
2 4
2
F
c T
E

Ψ
=
So:
2
2
F
c
T
E

 
Ψ
= ×
 
 
; m

Ψ
=

2
2
F
F
E
E mc T m
c T
→
= =
So we have:
m m
V
v


→
= =
So:
2
2
2
2 2 4
2 4 2
2
1
( )
F
F
F
E E
V
c T
c T
E E m c
c E
c T
= × × =
Ψ
× ×
Ψ
So: 2 2
F
E
V
c T
=
Ψ
Hence, we have the following new model (ρ, m, v):
2
2
F
c
T
E

 
Ψ
= ×
 
 
And: 2
c F
E
m
T
= and:
2 2
F
E
V
c T
=
Ψ

Daris: Wave function and system
AJMS/Jul-Sep-2018/Vol 2/Issue 3 8
These last results show that any material with a
mass and a volume and a density tends toward
a moment TF
. That is to say that matter when it
arrives at the moment TF
, its basic elements, which
constitute them, mean that the volume and density
disappear and the matter no longer exists.
REFERENCES
1. Speed of Light in Vacuum, c, c0. The NIST Reference
on Constants, Units, and Uncertainty: Fundamental
Physical Constants. NIST. Available from: https://
physics.nist.gov/cuu/index.html. [Last retrieved on
2011 Nov 28].
2. Ishimaru H. Ultimate pressure of the order of 10-13 torr
in an aluminum alloy vacuum chamber. J Vacuum Sci
Technol 1989;7:2439-42.
3. Altarelli G. The fundamental state of minimum
energy, the vacuum, is not unique and there are
a continuum of degenerate states that altogether
respect the symmetry. Elementary particles: Landolt-
börnstein series. In: Gauge theories and the Standard
Model. Ch. 2. Vol. 21/A. Berlin: Springer; 2008.
p. 2-3.
4. Boi L. The Quantum Vacuum: A Scientific and
Philosophical Concept, from Electrodynamics to
String Theory and the Geometry of the Microscopic
World. Baltimore: Johns Hopkins University Press;
2011.
5. Chambers A. Modern Vacuum Physics. Boca Raton:
CRC Press; 2004.

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